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Collapse and folding of pressurized rings in two dimensions
Eleni Katifori1, Silas Alben, David R Nelson
1Department of Physics, Harvard University, Cambridge, Massachussetts 02138, USA. ekatifori@mail.rockefeller.edu
Abstract:
Hydrostatically pressurized circular rings confined to two dimensions (or cylinders constrained to have only z -independent deformations) undergo Euler-type buckling when the outside pressure exceeds a critical value. We perform a stability analysis of rings with arclength-dependent bending moduli and determine how weakened bending modulus segments affect the buckling critical pressure. Rings with a fourfold symmetric modulation are particularly susceptible to collapse. In addition we study the initial postbuckling stages of the pressurized rings to determine possible ring folding patterns.
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